2158019054100 has 1728 divisors, whose sum is σ = 9144095740416. Its totient is φ = 412782428160.

The previous prime is 2158019054033. The next prime is 2158019054101. The reversal of 2158019054100 is 14509108512.

2158019054100 is a `hidden beast` number, since 2 + 1 + 58 + 0 + 190 + 5 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158019054101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8396961172 + ... + 8396961428.

It is an arithmetic number, because the mean of its divisors is an integer number (5291722072).

Almost surely, 2^{2158019054100} is an apocalyptic number.

2158019054100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158019054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572047870208).

2158019054100 is an abundant number, since it is smaller than the sum of its proper divisors (6986076686316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158019054100 is a wasteful number, since it uses less digits than its factorization.

2158019054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 2158019054100 in words is "two trillion, one hundred fifty-eight billion, nineteen million, fifty-four thousand, one hundred".